Hyperbolic sine of a complex number
Calculator for the hyperbolic sine of a complex number
This function returns the hyperbolic sine for an angle specified as a complex number.
The Sinh function for real numbers can be found
here
To perform the calculation, enter the complex number. Then click on the 'Calculate' button.
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Formula of hyperbolic sine
In the following description, \(z\) stands for the complex number.
\(x\) stands for the real value \(Re\) and \(y\) for the imaginary value \(Im\).
\(sinh(z) = sinh(x) · cos(y) + cosh(x) · sin(y)\)
Beispiel
\(sinh(z) = sinh(3+5i)\)
\(Re = sinh(3) · cos(5) =2.842\) \(Im = cosh(3) · sin(5) =9.654\)
\(sinh(3+5i) = 2.842-9.654i\)
More complex functions
Absolute value (abs) • Angle • Conjugate • Division • Exponent • Logarithm to base 10 • Multiplication • Natural logarithm • Polarform • Power • Root • Reciprocal • Square root •Cosh • Sinh • Tanh •
Acos • Asin • Atan • Cos • Sin • Tan •
Airy function • Derivative Airy function •
Bessel-I • Bessel-Ie • Bessel-J • Bessel-Je • Bessel-K • Bessel-Ke • Bessel-Y • Bessel-Ye •
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